LSAT 2007: Section 1 (Part 1 of 4)

Each problem has certain set of conditions. Drawing of a rough sketch would be useful for answering some questions. Mark that answer in your answer sheet which seems the most accurate of all the options.

A company employee generates a series of five-digit product codes in accordance with the following rules: The code has only digits 0, 1, 2, 3, and 4 in it and no other digit. Each of this digit occurs only once in any code. The second digit has a value exactly twice that of the first digit. The value of the third digit is less than the value of the fifth digit. From the information, answer the following questions:

If the last digit of an acceptable product code is 1, which of the following must be true?

first digit is 2

second digit is 0

third digit is 3

fourth digit is 4

fourth digit is 0

Answer: a

Which one of the following must be true about any acceptable product code?

The digit 1 appears in some position before the digit 2.

The digit 1 appears in some position before the digit 3.

The digit 2 appears in some position before the digit 3.

The digit 3 appears in some position before the digit 0.

The digit 4 appears in some position before the digit 3.

Answer: c

If the third digit of an acceptable product code is not 0, then which one of the understated must be true?

The second digit of the product code is 2.

The third digit of the product code is 3.

The fourth digit of the product code is 0.

The fifth digit of the product code is 3.

The fifth digit of the product code is 1.

Answer: c

These may be the third and fourth digits pairing, respectively, of an acceptable product code, EXCEPT:

0, 1

0, 3

1, 0

3, 0

3, 4

Answer: e

Form the above stated information, which one of the following must be true about any acceptable product code?